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Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34
Step-by-step explanation:
We know that the Pythagorean theorem is represented in the formula:
a^2 + B^2 = c^2
Where a and b are the legs of a right triangle, and c is the hypotenuse. Therefore, looking at the Pythagorean triples, we can infer that they are considered Pythagorean triples because they follow the Pythagorean theorem. To check if this is true, we can insert the numbers into theorem:
a^2 + b^2 = c^2
6^2 + 8^2 = 10^2
36 + 64 = 100
Since this equation is true, these three numbers could be the lengths of a right triangle, and are also therefore, a Pythagorean triple. We can also check the other three numbers:
a^2 + b^2 = c^2
5^2 + 12^2 = 13^2
25 + 144 = 169
Since this equation is also true, these three numbers could also be the side lengths of a right triangle, and are also therefore, a Pythagorean triple.
